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Finding the Fourth Proportional to 437.81, 602.91 and 359.40

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Solution

The fourth proportional to 437.81, 602.91 and 359.40 is: 494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 602.91 = 359.40 : x
  2. Step 2: Convert to fraction form
    437.81/602.91 = 359.40/x
  3. Step 3: Cross multiply
    437.81x = 602.91 × 359.40
  4. Step 4: Simplify right side
    437.81x = 216,688.11
  5. Step 5: Solve for x
    x = 216,688.11/437.81
  6. Step 6: Final answer
    x = 494.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.